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The partial wave theory of electron-hydrogen atom collisions

Published online by Cambridge University Press:  24 October 2008

I. C. Percival  and
M. J. Seaton
I. C. Percival
Affiliation:
Department of PhysicsUniversity CollegeLondon
M. J. Seaton
Affiliation:
Department of PhysicsUniversity CollegeLondon
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Abstract

The paper is concerned with the solution of the algebraic problems arising in the partial wave treatment of electron-hydrogen atom collisions. Explicitly antisymmetrized wave functions are used throughout. The boundary conditions are written in S-matrix notation and expressions for total and differential cross-sections obtained. The algebraic coefficients fλ and gλ occurring in the continuous state Hartree-Fock equations are expressed in terms of Racah coefficients, and tabulated as functions of the total angular momentum for atomic s, p and d electrons and all angular momenta of the scattered electron. Expressions are given for the calculation of first-order corrections to the results obtained using approximate wave functions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 654 - 662
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

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